Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1519/550,9769/498
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 1519,9769
Greatest Common Factor of Numerators i.e. GCF of 1519,9769 is 1 .
LCM of Denominators means LCM of 550,498 as per the given fractions.
LCM of 550,498 is 136950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1519,9769
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1519
List of positive integer factors of 1519 that divides 1519 without a remainder.
1,7,31,49,217,1519
Factors of 9769
List of positive integer factors of 9769 that divides 9769 without a remainder.
1,9769
Greatest Common Factor
We found the factors 1519,9769 . The biggest common factor number is the GCF number.
So the greatest common factor 1519,9769 is 1.
Lets's calculate LCM of 550,498
2 | 550, 498 |
275, 249 |
∴ So the LCM of the given numbers is 2 x 275 x 249 = 136950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136950
Therefore, the GCF of Fractions 1519/550,9769/498 is 1/136950
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 550,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,498) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(550,498) x common factors =2 x 1 = 2
LCM(550,498) = ( 550 × 498 ) / 2
LCM(550,498) = 273900 / 2
LCM(550,498) = 136950
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 1519/550, 9769/498?
Answer: GCF of Numerators as per given numbers 1519/550, 9769/498 is
GCF of Numerators i.e. for 1519,9769 is 1
LCM of denominators i.e. for 550,498 is 136950.
Thus, GCF of Fractions is 1/136950.Finally, GCF of Fractions for 1519/550, 9769/498 is 1/136950.